Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Use Newton's method to find the zeros of f(x) = 4x² - 4x² using the given starting values in (a) through (c).
(a) xo = -1.5 and Xo = - 0.9, lying in
=
O A. For Xo =
B. For Xo
-1.5 and Xo
1.5 and Xo
√2
(-∞, -1/2)
==
- 0.9, Newton's method does not converge. The values of x; alternate between 1.5 and 0.9 as i increases.
==
-0.9, X₁→ as i gets large.
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Transcribed Image Text:Use Newton's method to find the zeros of f(x) = 4x² - 4x² using the given starting values in (a) through (c). (a) xo = -1.5 and Xo = - 0.9, lying in = O A. For Xo = B. For Xo -1.5 and Xo 1.5 and Xo √2 (-∞, -1/2) == - 0.9, Newton's method does not converge. The values of x; alternate between 1.5 and 0.9 as i increases. == -0.9, X₁→ as i gets large.
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